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<a href="#pub-methods">Public Member Functions</a>  </div>
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<div class="title">choleskymod Module Reference</div>  </div>
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<!-- doxytag: class="choleskymod" -->
<p><a href="modulecholeskymod-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a3fd11fa4f3354af3db0e719ac6d2c671">cholesky</a> (n, A)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine to perform Cholesky factorization in place and stored as a lower triangular (uses LAPACK).  <a href="#a3fd11fa4f3354af3db0e719ac6d2c671"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a3fd11fa4f3354af3db0e719ac6d2c671">cholesky</a> (n, A)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a38d7b00f9993e4e977036287ae0721a1">choleskysolve</a> (n, A, b, x)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine to solve Ax=b if A is a cholesky factorized matrix stored as a lower triangular.  <a href="#a38d7b00f9993e4e977036287ae0721a1"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#ab953f9a02dca85a912ce4b1c7e86224b">invertcholesky</a> (n, A, Ai)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine to invert a cholesky factorized matrix.  <a href="#ab953f9a02dca85a912ce4b1c7e86224b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#ad320914503cd9cadc96a4299eaf44b63">invertsymmetric</a> (n, A)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine to invert a positive definite symmetric matrix and store the inverse in place (uses LAPACK). Result stored as a lower triangular matrix.  <a href="#ad320914503cd9cadc96a4299eaf44b63"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#ad320914503cd9cadc96a4299eaf44b63">invertsymmetric</a> (n, A)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af5fabd4640115423d7916e2e23cd3a46">symmetricsolve</a> (n, A, x)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves Ax=b for a symmetric positive definite matrix. Initial value of X is the vector b and the final value is the solution. Uses LAPACK.  <a href="#af5fabd4640115423d7916e2e23cd3a46"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af5fabd4640115423d7916e2e23cd3a46">symmetricsolve</a> (n, A, x)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a955624d196e9825cd96e347d8c9011d8">matrixmult</a> (n, m, A, p, B, C)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix multiplication \(A*B=C\). Uses LAPACK.  <a href="#a955624d196e9825cd96e347d8c9011d8"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a955624d196e9825cd96e347d8c9011d8">matrixmult</a> (n, m, A, p, B, C)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af31148ca9e4034f7ec3c0d31d84bd647">symmatrixmult</a> (n, A, p, B, C)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix multiplication \(A*B=C\) when A is symmetric. Uses LAPACK.  <a href="#af31148ca9e4034f7ec3c0d31d84bd647"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af31148ca9e4034f7ec3c0d31d84bd647">symmatrixmult</a> (n, A, p, B, C)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a5790a23a67609ce60516aa0273c1434e">matrixmulttrans</a> (n, m, A, p, B, C)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix multiplication as \(A*B^{T}=C\). Uses LAPACK.  <a href="#a5790a23a67609ce60516aa0273c1434e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a5790a23a67609ce60516aa0273c1434e">matrixmulttrans</a> (n, m, A, p, B, C)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#aa7bdc8c4c046ce48df20d4e9110e6ae8">symmatrixmulttrans</a> (n, A, p, B, C)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix multiplication as \(A*B^{T}=C\) when A is symmetric. Uses LAPACK.  <a href="#aa7bdc8c4c046ce48df20d4e9110e6ae8"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#aa7bdc8c4c046ce48df20d4e9110e6ae8">symmatrixmulttrans</a> (n, A, p, B, C)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a285af934224bca50ea69f7536100028b">matvec</a> (n, m, A, x, B)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix-vector multiplication as \( A x = b \). Uses LAPACK.  <a href="#a285af934224bca50ea69f7536100028b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#a285af934224bca50ea69f7536100028b">matvec</a> (n, m, A, x, B)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af318e70b3d3b19cf13d682a34c525ac6">symmatvec</a> (n, A, x, B)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix-vector multiplication as \( A x = b \) when A is symmetric. Uses LAPACK.  <a href="#af318e70b3d3b19cf13d682a34c525ac6"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#af318e70b3d3b19cf13d682a34c525ac6">symmatvec</a> (n, A, x, B)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#aa82ad594eebbac07e372bd12ca17d3db">matvectrans</a> (n, m, A, x, B)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Subroutine that performs matrix-vector multiplication as \( A^{T} x = b \). Uses LAPACK.  <a href="#aa82ad594eebbac07e372bd12ca17d3db"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">subroutine&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcholeskymod.html#aa82ad594eebbac07e372bd12ca17d3db">matvectrans</a> (n, m, A, x, B)</td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock">
<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00013">13</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>
</div><hr/><h2>Member Function/Subroutine Documentation</h2>
<a class="anchor" id="a3fd11fa4f3354af3db0e719ac6d2c671"></a><!-- doxytag: member="choleskymod::cholesky" ref="a3fd11fa4f3354af3db0e719ac6d2c671" args="(n, A)" -->
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          <td class="memname">subroutine choleskymod::cholesky </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>&#160;</td>
        </tr>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Subroutine to perform Cholesky factorization in place and stored as a lower triangular (uses LAPACK). </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00018">18</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a3fd11fa4f3354af3db0e719ac6d2c671"></a><!-- doxytag: member="choleskymod::cholesky" ref="a3fd11fa4f3354af3db0e719ac6d2c671" args="(n, A)" -->
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          <td class="memname">subroutine choleskymod::cholesky </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00030">30</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a38d7b00f9993e4e977036287ae0721a1"></a><!-- doxytag: member="choleskymod::choleskysolve" ref="a38d7b00f9993e4e977036287ae0721a1" args="(n, A, b, x)" -->
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          <td class="memname">subroutine choleskymod::choleskysolve </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(in)&#160;</td>
          <td class="paramname"><em>b</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(out)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Subroutine to solve Ax=b if A is a cholesky factorized matrix stored as a lower triangular. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00066">66</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="ab953f9a02dca85a912ce4b1c7e86224b"></a><!-- doxytag: member="choleskymod::invertcholesky" ref="ab953f9a02dca85a912ce4b1c7e86224b" args="(n, A, Ai)" -->
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          <td class="memname">subroutine choleskymod::invertcholesky </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(out)&#160;</td>
          <td class="paramname"><em>Ai</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Subroutine to invert a cholesky factorized matrix. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00093">93</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="ad320914503cd9cadc96a4299eaf44b63"></a><!-- doxytag: member="choleskymod::invertsymmetric" ref="ad320914503cd9cadc96a4299eaf44b63" args="(n, A)" -->
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          <td class="memname">subroutine choleskymod::invertsymmetric </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>&#160;</td>
        </tr>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Subroutine to invert a positive definite symmetric matrix and store the inverse in place (uses LAPACK). Result stored as a lower triangular matrix. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00121">121</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="ad320914503cd9cadc96a4299eaf44b63"></a><!-- doxytag: member="choleskymod::invertsymmetric" ref="ad320914503cd9cadc96a4299eaf44b63" args="(n, A)" -->
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          <td class="memname">subroutine choleskymod::invertsymmetric </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00135">135</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a955624d196e9825cd96e347d8c9011d8"></a><!-- doxytag: member="choleskymod::matrixmult" ref="a955624d196e9825cd96e347d8c9011d8" args="(n, m, A, p, B, C)" -->
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          <td class="memname">subroutine choleskymod::matrixmult </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m,p), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Subroutine that performs matrix multiplication \(A*B=C\). Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00186">186</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a955624d196e9825cd96e347d8c9011d8"></a><!-- doxytag: member="choleskymod::matrixmult" ref="a955624d196e9825cd96e347d8c9011d8" args="(n, m, A, p, B, C)" -->
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<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">subroutine choleskymod::matrixmult </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m,p), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00197">197</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a5790a23a67609ce60516aa0273c1434e"></a><!-- doxytag: member="choleskymod::matrixmulttrans" ref="a5790a23a67609ce60516aa0273c1434e" args="(n, m, A, p, B, C)" -->
<div class="memitem">
<div class="memproto">
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        <tr>
          <td class="memname">subroutine choleskymod::matrixmulttrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,m), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Subroutine that performs matrix multiplication as \(A*B^{T}=C\). Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00261">261</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a5790a23a67609ce60516aa0273c1434e"></a><!-- doxytag: member="choleskymod::matrixmulttrans" ref="a5790a23a67609ce60516aa0273c1434e" args="(n, m, A, p, B, C)" -->
<div class="memitem">
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        <tr>
          <td class="memname">subroutine choleskymod::matrixmulttrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,m), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00272">272</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a285af934224bca50ea69f7536100028b"></a><!-- doxytag: member="choleskymod::matvec" ref="a285af934224bca50ea69f7536100028b" args="(n, m, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::matvec </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Subroutine that performs matrix-vector multiplication as \( A x = b \). Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00335">335</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="a285af934224bca50ea69f7536100028b"></a><!-- doxytag: member="choleskymod::matvec" ref="a285af934224bca50ea69f7536100028b" args="(n, m, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::matvec </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00346">346</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="aa82ad594eebbac07e372bd12ca17d3db"></a><!-- doxytag: member="choleskymod::matvectrans" ref="aa82ad594eebbac07e372bd12ca17d3db" args="(n, m, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::matvectrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00416">416</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="aa82ad594eebbac07e372bd12ca17d3db"></a><!-- doxytag: member="choleskymod::matvectrans" ref="aa82ad594eebbac07e372bd12ca17d3db" args="(n, m, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::matvectrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>m</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,m), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(m), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Subroutine that performs matrix-vector multiplication as \( A^{T} x = b \). Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00405">405</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af31148ca9e4034f7ec3c0d31d84bd647"></a><!-- doxytag: member="choleskymod::symmatrixmult" ref="af31148ca9e4034f7ec3c0d31d84bd647" args="(n, A, p, B, C)" -->
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          <td class="memname">subroutine choleskymod::symmatrixmult </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Subroutine that performs matrix multiplication \(A*B=C\) when A is symmetric. Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00221">221</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af31148ca9e4034f7ec3c0d31d84bd647"></a><!-- doxytag: member="choleskymod::symmatrixmult" ref="af31148ca9e4034f7ec3c0d31d84bd647" args="(n, A, p, B, C)" -->
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          <td class="memname">subroutine choleskymod::symmatrixmult </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,p), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00234">234</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="aa7bdc8c4c046ce48df20d4e9110e6ae8"></a><!-- doxytag: member="choleskymod::symmatrixmulttrans" ref="aa7bdc8c4c046ce48df20d4e9110e6ae8" args="(n, A, p, B, C)" -->
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          <td class="memname">subroutine choleskymod::symmatrixmulttrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00309">309</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="aa7bdc8c4c046ce48df20d4e9110e6ae8"></a><!-- doxytag: member="choleskymod::symmatrixmulttrans" ref="aa7bdc8c4c046ce48df20d4e9110e6ae8" args="(n, A, p, B, C)" -->
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          <td class="memname">subroutine choleskymod::symmatrixmulttrans </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>p</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(in)&#160;</td>
          <td class="paramname"><em>B</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(p,n), intent(out)&#160;</td>
          <td class="paramname"><em>C</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<div class="memdoc">

<p>Subroutine that performs matrix multiplication as \(A*B^{T}=C\) when A is symmetric. Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00296">296</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af318e70b3d3b19cf13d682a34c525ac6"></a><!-- doxytag: member="choleskymod::symmatvec" ref="af318e70b3d3b19cf13d682a34c525ac6" args="(n, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::symmatvec </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00381">381</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af318e70b3d3b19cf13d682a34c525ac6"></a><!-- doxytag: member="choleskymod::symmatvec" ref="af318e70b3d3b19cf13d682a34c525ac6" args="(n, A, x, B)" -->
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          <td class="memname">subroutine choleskymod::symmatvec </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(in)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(in)&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(out)&#160;</td>
          <td class="paramname"><em>B</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Subroutine that performs matrix-vector multiplication as \( A x = b \) when A is symmetric. Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00368">368</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af5fabd4640115423d7916e2e23cd3a46"></a><!-- doxytag: member="choleskymod::symmetricsolve" ref="af5fabd4640115423d7916e2e23cd3a46" args="(n, A, x)" -->
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          <td class="memname">subroutine choleskymod::symmetricsolve </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(inout)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p>Solves Ax=b for a symmetric positive definite matrix. Initial value of X is the vector b and the final value is the solution. Uses LAPACK. </p>

<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00154">154</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<a class="anchor" id="af5fabd4640115423d7916e2e23cd3a46"></a><!-- doxytag: member="choleskymod::symmetricsolve" ref="af5fabd4640115423d7916e2e23cd3a46" args="(n, A, x)" -->
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          <td class="memname">subroutine choleskymod::symmetricsolve </td>
          <td>(</td>
          <td class="paramtype">integer, intent(in)&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n,n), intent(inout)&#160;</td>
          <td class="paramname"><em>A</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">real(8), dimension(n), intent(inout)&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Definition at line <a class="el" href="choleskymod_8f90_source.html#l00167">167</a> of file <a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a>.</p>

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<hr/>The documentation for this module was generated from the following file:<ul>
<li><a class="el" href="choleskymod_8f90_source.html">choleskymod.f90</a></li>
</ul>
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